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12312342 = 23271937139
BaseRepresentation
bin101110111101…
…111100010110
3212011112100200
4232331330112
511122443332
61115521330
7206440020
oct56757426
925145320
1012312342
116a4a499
124159246
132721213
1418c7010
15113317c
hexbbdf16

12312342 has 96 divisors (see below), whose sum is σ = 33196800. Its totient is φ = 3219264.

The previous prime is 12312331. The next prime is 12312347. The reversal of 12312342 is 24321321.

12312342 is a `hidden beast` number, since 12 + 312 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88509 + ... + 88647.

It is an arithmetic number, because the mean of its divisors is an integer number (345800).

Almost surely, 212312342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598400).

12312342 is an abundant number, since it is smaller than the sum of its proper divisors (20884458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12312342 is a wasteful number, since it uses less digits than its factorization.

12312342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12312342 is about 3508.8946977645. The cubic root of 12312342 is about 230.9122059130.

Adding to 12312342 its reverse (24321321), we get a palindrome (36633663).

It can be divided in two parts, 12312 and 342, that multiplied together give a square (4210704 = 20522).

The spelling of 12312342 in words is "twelve million, three hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 139 171 222 259 266 278 333 342 399 417 518 666 703 777 798 834 973 1197 1251 1406 1554 1946 2109 2331 2394 2502 2641 2919 4218 4662 4921 5143 5282 5838 6327 7923 8757 9842 10286 12654 14763 15429 15846 17514 18487 23769 29526 30858 36001 36974 44289 46287 47538 55461 72002 88578 92574 97717 108003 110922 166383 195434 216006 293151 324009 332766 586302 648018 684019 879453 1368038 1758906 2052057 4104114 6156171 12312342